Question 60
Find all triplets of integers $(a, b, c)$ such that each of the fractions
$$
\frac{a}{b+c}, \quad \frac{b}{c+a}, \quad \frac{c}{a+b}
$$
is an integer.
$$
\frac{a}{b+c}, \quad \frac{b}{c+a}, \quad \frac{c}{a+b}
$$
is an integer.
MathNet 2017-part-02 — 176 problems (EN–VI) Question 60
Math Olympiad Vault · MathNet 2017-part-02 — 176 problems (EN–VI)